Sains Malaysiana 43(10)(2014): 1583–1591

MHD Mixed Convection Peristaltic Flow with Variable Viscosity and Thermal Conductivity

(Aliran Peristalsis Perolakan MHD Bercampur dengan Kelikatan yang Berubah-ubah dan Kekonduksian Terma)

T. HAYAT^1,2, F.M. ABBASI¹*, B. AHMAD² & A. ALSAEDI²

¹Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000

Pakistan

²Nonlinear Analysis and Applied Mathematics (NAAM), Research Group

Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received: 13 January 2014/Accepted: 3 March 2014

ABSTRACT

This article concerns with a mixed convection peristaltic flow of an electrically conducting fluid in an inclined asymmetric channel. Analysis has been carried out in the presence of Joule heating. The fluid viscosity and thermal conductivity are assumed to vary as a linear function of temperature. A nonlinear coupled governing system is computed. Numerical results were presented for the velocity, pressure gradient, temperature and streamlines. Heat transfer rate at the wall is computed and analyzed. Graphs reflecting the contributions of embedded parameters were discussed.

Keywords: Joule heating; mixed convection; variable thermal conductivity; variable viscosity

ABSTRAK

Artikel ini berkaitan dengan aliran peristalsis perolakan yang bercampur dengan cecair elektrik yang dijalankan di saluran asimetri cenderung. Analisis telah dijalankan dengan kehadiran pemanas Joule. Kelikatan cecair dan kekonduksian terma dianggap berubah sebagai fungsi linear suhu. Sistem pengelasan terganding tak linear dikira. Keputusan kajian berangka dibentangkan bagi halaju, kecerunan tekanan, suhu dan arus. Kadar pemindahan haba pada dinding dikira dan dianalisis. Graf yang mencerminkan sumbangan parameter yang tertanam dibincangkan.

Kata kunci: Kekonduksian terma yang berubah-ubah; kelikatan yang berubah-ubah; pemanas Joule; perolakan bercampur

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*Corresponding author; email: abbasisarkar@gmail.com